Some new conformal covariants

Authors
Citation
V. Wunsch, Some new conformal covariants, Z ANAL ANWE, 19(2), 2000, pp. 339-357
Citations number
42
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN journal
02322064 → ACNP
Volume
19
Issue
2
Year of publication
2000
Pages
339 - 357
Database
ISI
SICI code
0232-2064(2000)19:2<339:SNCC>2.0.ZU;2-P
Abstract
By means of a certain conformal covariant differentiation process explicit formulae are derived for (i) a conformally invariant generalized Each tensor in dimension 6 (ii) conformally invariant differential operators acting on weighted functi ons, especially one with leading term square(4) (iii) conformal covariants on symmetric, trace-free p-tensor bundles, espec ially one with leading term square(2) (iv) conformal covariants on differential forms. Furthermore, theorems for uniqueness, existence and non-existence of confor mal covariants, in particular in dimension 4, are given.